Some spectral identities for the one-dimensional Hill operator. (English) Zbl 0423.34038


34B30 Special ordinary differential equations (Mathieu, Hill, Bessel, etc.)
34L99 Ordinary differential operators
70F99 Dynamics of a system of particles, including celestial mechanics


Zbl 0401.34025
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[1] E. C. Titchmarsh, Eigenfunction Expansions Associated with Second-Order Differential Equations, Vol. 2, Clarendon Press, Oxford (1958). (p. 555 of the Russian translation published by IL (1961)). · Zbl 0097.27601
[2] I. M. Ziman, Principles of the Theory of Solids, Cambridge University Press, Cambridge (1964). · Zbl 0121.44801
[3] N. E. Firsova, in: Mathematical Questions of the Theory of Wave Propagation, No. 7 [in Russian], Leningrad State University (1975), p. 183. · Zbl 0349.34020
[4] N. E. Firsova, Matem. Zametki,18, 831 (1975).
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